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Finding the Fourth Proportional to 23,894.82, 32,965.38 and 13,821.39

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Solution

The fourth proportional to 23,894.82, 32,965.38 and 13,821.39 is: 19,068.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,894.82 : 32,965.38 = 13,821.39 : x
  2. Step 2: Convert to fraction form
    23,894.82/32,965.38 = 13,821.39/x
  3. Step 3: Cross multiply
    23,894.82x = 32,965.38 × 13,821.39
  4. Step 4: Simplify right side
    23,894.82x = 455,627,373.48
  5. Step 5: Solve for x
    x = 455,627,373.48/23,894.82
  6. Step 6: Final answer
    x = 19,068.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.